Assuming that the wheel and the ground are both rigid and that the wheel is set into pure rolling motion

Question

A 1 kg mass of clay, moving with a velocity of 10 m/s, strikes a stationery wheel and sticks to it. The solid wheel has a mass of 20 kg and a radius of 1 m. Assuming that the wheel and the ground are both rigid and that the wheel is set into pure rolling motion, the angular velocity of the wheel immediately after the impact is approximately.                                                                                                       

 

      (a) Zero                                                                  (b) 1/3 rad/s

      (c) $\sqrt{\frac{10}{3}}$  rad/s                                                       (d) 10/3 rad/s

Answer 1

The angular velocity of the wheel after impact is 1/3 rad/sec